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MIXED METHODS FOR ELASTODYNAMICS WITH WEAK SYMMETRY

We analyze the application to elastodynamic problems of mixed finite element methods for elasticity with weakly imposed symmetry of stress. Our approach leads to a semidiscrete method which consists of a system of ordinary differential equations without algebraic constraints. Our error analysis, whi...

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Bibliographic Details
Published in:SIAM journal on numerical analysis 2014-01, Vol.52 (6), p.2743-2769
Main Authors: ARNOLD, DOUGLAS N., LEE, JEONGHUN J.
Format: Article
Language:English
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Summary:We analyze the application to elastodynamic problems of mixed finite element methods for elasticity with weakly imposed symmetry of stress. Our approach leads to a semidiscrete method which consists of a system of ordinary differential equations without algebraic constraints. Our error analysis, which is based on a new elliptic projection operator, applies to several mixed finite element spaces developed for elastostatics. The error estimates we obtain are robust for nearly incompressible materials.
ISSN:0036-1429
1095-7170
DOI:10.1137/13095032X